51885781122240 has 1120 divisors, whose sum is σ = 204053573908800. Its totient is φ = 12433371955200.

The previous prime is 51885781122191. The next prime is 51885781122247. The reversal of 51885781122240 is 4222118758815.

51885781122240 is a `hidden beast` number, since 5 + 1 + 8 + 8 + 578 + 1 + 1 + 2 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (51885781122247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6783337936 + ... + 6783345584.

It is an arithmetic number, because the mean of its divisors is an integer number (182190690990).

Almost surely, 2^{51885781122240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51885781122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102026786954400).

51885781122240 is an abundant number, since it is smaller than the sum of its proper divisors (152167792786560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51885781122240 is a wasteful number, since it uses less digits than its factorization.

51885781122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223 (or 8204 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 51885781122240 in words is "fifty-one trillion, eight hundred eighty-five billion, seven hundred eighty-one million, one hundred twenty-two thousand, two hundred forty".